Algebra Examples

$9 x + 4 - x = 4 (2 x + 1)$

Step 1

Subtract $x$ from $9 x$ .

$8 x + 4 = 4 (2 x + 1)$

Step 2

Simplify $4 (2 x + 1)$ .

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Step 2.1

Apply the distributive property.

$8 x + 4 = 4 (2 x) + 4 \cdot 1$

Step 2.2

Multiply.

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Step 2.2.1

Multiply $2$ by $4$ .

$8 x + 4 = 8 x + 4 \cdot 1$

Step 2.2.2

Multiply $4$ by $1$ .

$8 x + 4 = 8 x + 4$

Step 3

Move all terms containing $x$ to the left side of the equation.

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Step 3.1

Subtract $8 x$ from both sides of the equation.

$8 x + 4 - 8 x = 4$

Step 3.2

Combine the opposite terms in $8 x + 4 - 8 x$ .

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Step 3.2.1

Subtract $8 x$ from $8 x$ .

$0 + 4 = 4$

Step 3.2.2

Add $0$ and $4$ .

$4 = 4$

Step 4

Since $4 = 4$ , the equation will always be true for any value of $x$ .

All real numbers

Step 5

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$